Forward and Backward Chaining in Linear Logic (Extended Abstract)
(2000) : Harland, James A. Pym, David J...
DOI: https://doi.org/10.1016/s1571-0661(05)01136-9
#linear_logic #proof_theory #backward_chaining #forward_chaining #my_bibtex
The Many Worlds of Modal λ-calculi: I. Curry-Howard for Necessity, Possibility and Time

This is a survey of λ-calculi that, through the Curry-Howard isomorphism, correspond to constructive modal logics. We cover the prehistory of the subject and then concentrate on the developments that took place in the 1990s and early 2000s. We discuss logical aspects, modal λ-calculi, and their categorical semantics. The logics underlying the calculi surveyed are constructive versions of K, K4, S4, and LTL.

arXiv.org
Structural Analysis of Narratives With the Coq Proof Assistant
(2011) : Bosser, Anne-Gwenn et al
DOI: https://doi.org/10.1007/978-3-642-22863-6_7
#narrative #structural_analysis #proof_assistant #idris #proof_theory #linear_logic #coq #my_bibtex
Modal Logic for Induction
(2020) : Giulio Fellin and Sara Negri and Peter Schuster
url: http://www.aiml.net/volumes/volume13/
#elementary_proofs #induction #modal_logic #proof_theory #sequent_calculus
#my_bibtex
AiML: Volume 13

Kyoto University Research Information Repository: Systems of logic for necessity (Sequent Calculi and Proof Theory)