(Enter summary)
Abstract: this paper we explore the possibilities for a notion of goal-directed proof in
classical logic. The technical point to consider is how to deal with the multipleconclusioned
nature of classical sequents, i.e. that classical succedents may contain
more than one formula. This means that there may be more than one "candidate"
right rule, as there may be several non-atomic formulae in the succedent, and so a
choice has to be made as to which formula is to be reduced in the next step. The
question of ... (Update)
Context of citations to this paper: More
.... of notions of goaldirected provability for multiple conclusioned systems such as linear logic [1, 10, 19] and classical logic [8, 17, 18]. Thus it seems appropriate to investigate the design of logic programming languages via goal directed provability for a multiple...
.... of notions of goal directed provability for multiple conclusioned systems such as linear logic [1, 15, 19, 21] and classical logic [10, 18]. Thus it seems appropriate to investigate the design of logic programming languages via goal directed provability for a multiple...
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BibTeX entry: (Update)
J. Harland and D. Pym. On Goal-directed Provability in Classical Logic. Technical report 92/16, Dept. of Computer Science, Univ. of Melbourne, 1992. http://citeseer.ist.psu.edu/harland94goaldirected.html More
@inproceedings{ harland93goaldirected,
author = "James Harland",
title = "On Goal-Directed Provability in Classical Logic",
booktitle = "International Logic Programming Symposium",
pages = "677",
year = "1993",
url = "citeseer.ist.psu.edu/harland94goaldirected.html" }
Citations (may not include all citations):
340
Uniform Proofs as a Foundation for Logic Programming (context) - Miller, Nadathur et al. - 1991 ACM DBLP
149
A Logical Analysis of Modules in Logic Programming (context) - Miller - 1989 ACM DBLP
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A Uniform Proof-Theoretic Investigation of Linear Logic Prog..
- Harland, Pym - 1994 DBLP
49
A Fixpoint Semantics for Disjunctive Logic Programs (context) - Minker, Rajasekar - 1990 ACM DBLP
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Permutability of inferences in Gentzen's calculi LK and LJ (context) - Kleene - 1952
26
Proof Search in First-order Linear Logic and Other Cutfree S..
- Lincoln, Shankar - 1994
20
A Proof-Theoretic Analysis of Goal-Directed Provability
- Harland DBLP
11
The permutability of rules in the classical inferential calc.. (context) - Curry - 1952 DBLP
7
Herbrand Methods in Linear Logic (context) - Cerrito - 1992
2
personal communication (context) - McCarty - 1992
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