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Volumn 6, Issue 4, 2005, Pages 749-783

A proof theory for generic judgments

Author keywords

tree syntax; Generic judgments; Higher order abstract syntax; Proof search; Reasoning about operational semantics; V quantifier

Indexed keywords

Λ-TREE SYNTAX; GENERIC JUDGEMENTS; HIGHER-ORDER ABSTRACT SYNTAX; PROOF SEARCH; REASONING ABOUT OPERATIONAL SEMANTICS; V-QUANTIFIER;

EID: 33745189795     PISSN: 15293785     EISSN: 15293785     Source Type: Journal    
DOI: 10.1145/1094622.1094628     Document Type: Conference Paper
Times cited : (114)

References (40)
  • 4
    • 0003180840 scopus 로고
    • A formulation of the simple theory of types
    • CHURCH, A. 1940. A formulation of the simple theory of types. J. Symbol. Logic 5, 56-68.
    • (1940) J. Symbol. Logic , vol.5 , pp. 56-68
    • Church, A.1
  • 5
    • 0012654511 scopus 로고
    • A finitary version of the calculus of partial inductive definitions
    • L.-H. Eriksson, L. Hallnäs, and P. Schroeder-Heister, Eds. Lecture Notes in Artificial Intelligence, Springer-Verlag, New York
    • ERIKSSON, L.-H. 1991. A finitary version of the calculus of partial inductive definitions. In Proceedings of the 2nd International Workshop on Extensions to Logic Programming, L.-H. Eriksson, L. Hallnäs, and P. Schroeder-Heister, Eds. Lecture Notes in Artificial Intelligence, vol. 596. Springer-Verlag, New York, 89-134.
    • (1991) Proceedings of the 2nd International Workshop on Extensions to Logic Programming , vol.596 , pp. 89-134
    • Eriksson, L.-H.1
  • 6
    • 84951517590 scopus 로고
    • Specifying theorem provers in a higher-order logic programming language
    • Argonne, IL. Springer-Verlag, New York
    • FELTY, A. AND MILLER, D. 1988. Specifying theorem provers in a higher-order logic programming language. In Proceedings of the 9th International Conference on Automated Deduction (Argonne, IL). Springer-Verlag, New York, 61-80.
    • (1988) Proceedings of the 9th International Conference on Automated Deduction , pp. 61-80
    • Felty, A.1    Miller, D.2
  • 8
    • 23944501086 scopus 로고    scopus 로고
    • A new approach to abstract syntax with variable binding
    • GABBAY, M. J. AND PITTS, A. M. 2001. A new approach to abstract syntax with variable binding. Form. Aspects Comput. 13, 341-363.
    • (2001) Form. Aspects Comput. , vol.13 , pp. 341-363
    • Gabbay, M.J.1    Pitts, A.M.2
  • 9
    • 84942118207 scopus 로고
    • Investigations into logical deductions
    • M. E. Szabo, Ed. North-Holland Publishing Co., Amsterdam, The Netherlands
    • GENTZEN, G. 1969. Investigations into logical deductions. In The Collected Papers of Gerhard Gentzen, M. E. Szabo, Ed. North-Holland Publishing Co., Amsterdam, The Netherlands, 68-131.
    • (1969) The Collected Papers of Gerhard Gentzen , pp. 68-131
    • Gentzen, G.1
  • 11
    • 0001279959 scopus 로고
    • A proof-theoretic approach to logic programming. II. Programs as definitions
    • HALLNÄS, L. AND SCHHOEDER-HEISTER, P. 1991. A proof-theoretic approach to logic programming. II. Programs as definitions. J. Logic Comput. 1, 5 (Oct.), 635-660.
    • (1991) J. Logic Comput. , vol.1 , Issue.5 OCT , pp. 635-660
    • Hallnäs, L.1    Schhoeder-Heister, P.2
  • 12
    • 49549145605 scopus 로고
    • A unification algorithm for typed A.-calculus
    • HUET, G. 1975. A unification algorithm for typed A.-calculus. Theoret. Comput. Sci. 1, 27-57.
    • (1975) Theoret. Comput. Sci. , vol.1 , pp. 27-57
    • Huet, G.1
  • 14
    • 0012713211 scopus 로고    scopus 로고
    • Cut-elimination for a logic with definitions and induction
    • MCDOWELL, R. AND MILLER, D. 2000. Cut-elimination for a logic with definitions and induction. Theoret. Comput. Sci. 232, 91-119.
    • (2000) Theoret. Comput. Sci. , vol.232 , pp. 91-119
    • Mcdowell, R.1    Miller, D.2
  • 15
    • 0041524803 scopus 로고    scopus 로고
    • Reasoning with higher-order abstract syntax in a logical framework
    • MCDOWELL, R. AND MILLER, D. 2002. Reasoning with higher-order abstract syntax in a logical framework. ACM Trans. Comput. Logic 3, 1 (Jan.), 80-136.
    • (2002) ACM Trans. Comput. Logic , vol.3 , Issue.1 JAN , pp. 80-136
    • Mcdowell, R.1    Miller, D.2
  • 16
    • 0037452397 scopus 로고    scopus 로고
    • Encoding transition systems in sequent calculus
    • MCDOWELL, R., MILLER, D., AND PALAMIDESSI, C. 2003. Encoding transition systems in sequent calculus. Theoret. Comput. Sci. 294, 3, 411-437.
    • (2003) Theoret. Comput. Sci. , vol.294 , Issue.3 , pp. 411-437
    • Mcdowell, R.1    Miller, D.2    Palamidessi, C.3
  • 17
  • 18
    • 0000968273 scopus 로고
    • A logic programming language with lambda-abstraction, function variables, and simple unification
    • MILLER, D. 1991. A logic programming language with lambda-abstraction, function variables, and simple unification. J. Logic Comput. 1, 4, 497-536.
    • (1991) J. Logic Comput. , vol.1 , Issue.4 , pp. 497-536
    • Miller, D.1
  • 19
    • 0000100589 scopus 로고
    • Unification under a mixed prefix
    • MILLER, D. 1992. Unification under a mixed prefix. J. Symb. Comput. 14, 4, 321-358.
    • (1992) J. Symb. Comput. , vol.14 , Issue.4 , pp. 321-358
    • Miller, D.1
  • 20
    • 84913004277 scopus 로고
    • The π-calculus as a theory in linear logic: Preliminary results
    • Bologna, Italy. E. Lamma and P. Mello, Eds. Lecture Notes in Computer Science, Springer-Verlag, New York
    • MILLER, D. 1993. The π-calculus as a theory in linear logic: Preliminary results. In Proceedings of the 1992 Workshop on Extensions to Logic Programming (Bologna, Italy). E. Lamma and P. Mello, Eds. Lecture Notes in Computer Science, vol. 660, Springer-Verlag, New York, 242-265.
    • (1993) Proceedings of the 1992 Workshop on Extensions to Logic Programming , vol.660 , pp. 242-265
    • Miller, D.1
  • 21
    • 0030247475 scopus 로고    scopus 로고
    • Forum: A multiple-conclusion specification language
    • MILLER, D. 1996. Forum: A multiple-conclusion specification language. Theoret. Comput. Sci. 165, 1 (Sept.), 201-232.
    • (1996) Theoret. Comput. Sci. , vol.165 , Issue.1 SEPT , pp. 201-232
    • Miller, D.1
  • 22
    • 84867771131 scopus 로고    scopus 로고
    • Abstract syntax for variable binders: An overview
    • J. Lloyd et. al., Eds. Lecture Notes in Artificial Intelligence
    • MILLER, D. 2000. Abstract syntax for variable binders: An overview. In Computational Logic (CL 2000), J. Lloyd et. al., Eds. Lecture Notes in Artificial Intelligence, vol. 1861. Springer-Verlag, New York, 239-253.
    • (2000) Computational Logic (CL 2000) , vol.1861 , pp. 239-253
    • Miller, D.1
  • 24
    • 84877774131 scopus 로고    scopus 로고
    • Encoding generic judgments
    • Number 2556 in LNCS. Springer-Verlag
    • MILLER, D. AND TIU, A. 2002. Encoding generic judgments. In Proceedings of FSTTCS. Number 2556 in LNCS. Springer-Verlag, 18-32.
    • (2002) Proceedings of FSTTCS. , pp. 18-32
    • Miller, D.1    Tiu, A.2
  • 26
    • 44049113210 scopus 로고
    • A calculus of mobile processes, Part I
    • MILNER, R., PARHOW, J., AND WALKER, D. 1992. A calculus of mobile processes, Part I. Inf. Comput. 100, 1 (Sept.), 1-40.
    • (1992) Inf. Comput. , vol.100 , Issue.1 SEPT , pp. 1-40
    • Milner, R.1    Parhow, J.2    Walker, D.3
  • 27
    • 18944369789 scopus 로고    scopus 로고
    • A hybrid encoding of Howe's method for establishing congruence of bisimilarity
    • ENTCS, vol. 70.2. Springer-Verlag, New York
    • MOMIGLIANO, A., AMBLER, S., AND CROLE, R. 2002. A hybrid encoding of Howe's method for establishing congruence of bisimilarity. In LFM'02. ENTCS, vol. 70.2. Springer-Verlag, New York.
    • (2002) LFM'02.
    • Momigliano, A.1    Ambler, S.2    Crole, R.3
  • 28
    • 35048859203 scopus 로고    scopus 로고
    • Induction and co-induction in sequent calculus
    • Lecture Notes in Computer Science, Springer-Verlag, New York
    • MOMIGLIANO, A. AND TIU, A. 2003. Induction and co-induction in sequent calculus. In Proceedings of TYPES 2003 Workshop. Lecture Notes in Computer Science, vol. 3085, Springer-Verlag, New York, 293-308.
    • (2003) Proceedings of TYPES 2003 Workshop , vol.3085 , pp. 293-308
    • Momigliano, A.1    Tiu, A.2
  • 29
  • 30
    • 0003299970 scopus 로고
    • The foundation of a generic theorem prover
    • PAULSON, L. C. 1989. The foundation of a generic theorem prover. J. Automat. Reas. 5, 363-397.
    • (1989) J. Automat. Reas. , vol.5 , pp. 363-397
    • Paulson, L.C.1
  • 33
    • 0142089908 scopus 로고    scopus 로고
    • Nominal logic, A first order theory of names and binding
    • PITTS, A. M. 2003. Nominal logic, A first order theory of names and binding. Inf. Comput. 186, 2, 165-193.
    • (2003) Inf. Comput. , vol.186 , Issue.2 , pp. 165-193
    • Pitts, A.M.1
  • 34
    • 84937432724 scopus 로고
    • Cut-elimination in logics with definitional reflection
    • D. Pearce and H. Wansing, Eds. Lecture Notes in Computer Science, Springer-Verlag, New York
    • SCHROEDER-HEISTER, P. 1992. Cut-elimination in logics with definitional reflection. In Nonclassical Logics and Information Processing, D. Pearce and H. Wansing, Eds. Lecture Notes in Computer Science, vol. 619, Springer-Verlag, New York, 146-171.
    • (1992) Nonclassical Logics and Information Processing , vol.619 , pp. 146-171
    • Schroeder-Heister, P.1
  • 37
    • 0009893550 scopus 로고
    • Solution to a problem of Ono and Komori
    • SLANEY, J. 1989. Solution to a problem of Ono and Komori. J. Philosophic Logic 18, 103-111.
    • (1989) J. Philosophic Logic , vol.18 , pp. 103-111
    • Slaney, J.1


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