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» Constructing Induction Rules for Deductive Synthesis Proofs
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CADE
2007
Springer
14 years 6 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka
RTA
2005
Springer
13 years 11 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
CADE
1992
Springer
13 years 10 months ago
Implementing the Meta-Theory of Deductive Systems
Abstract. We exhibit a methodology for formulating and verifying metatheorems about deductive systems in the Elf language, an implementation of the LF Logical Framework with an ope...
Frank Pfenning, Ekkehard Rohwedder
JAR
2006
71views more  JAR 2006»
13 years 5 months ago
Mathematical Induction in Otter-Lambda
Otter-lambda is Otter modified by adding code to implement an algorithm for lambda unification. Otter is a resolution-based, clause-language first-order prover that accumulates de...
Michael Beeson
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 3 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...