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CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 5 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
LICS
2002
IEEE
14 years 18 days ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson
TABLEAUX
2000
Springer
13 years 11 months ago
MSPASS: Modal Reasoning by Translation and First-Order Resolution
mspass is an extension of the first-order theorem prover spass, which can be used as a modal logic theorem prover, a theorem prover for description logics and a theorem prover for ...
Ullrich Hustadt, Renate A. Schmidt
IJCAI
1993
13 years 9 months ago
A New Logical framework for Deductive Planning
objects, like elements of (abstract) data types in ordinary programming languages In the theory of abstract data types most often one only considers algebraic structures where all ...
Werner Stephan, Susanne Biundo
CSL
2006
Springer
13 years 11 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...