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» A Schemata Calculus for Propositional Logic
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TABLEAUX
2009
Springer
14 years 1 days ago
A Schemata Calculus for Propositional Logic
We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
JAIR
2011
166views more  JAIR 2011»
13 years 14 days ago
Decidability and Undecidability Results for Propositional Schemata
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
AML
2006
106views more  AML 2006»
13 years 5 months ago
Upper bounds on complexity of Frege proofs with limited use of certain schemata
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Pavel Naumov
LATA
2010
Springer
14 years 2 months ago
Complexity of the Satisfiability Problem for a Class of Propositional Schemata
Abstract. Iterated schemata allow to define infinite languages of propositional formulae through formulae patterns. Formally, schemata extend propositional logic with new (generali...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
ICFP
2012
ACM
11 years 8 months ago
Propositions as sessions
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Philip Wadler