Proof Theory

Regular price €69.99
A01=Katalin Bimbo
Age Group_Uncategorized
Age Group_Uncategorized
Author_Katalin Bimbo
automatic-update
Boolean Negation
Category1=Non-Fiction
Category=PBCH
Category=PBD
Category=UMB
Category=UY
classical logic
Cognate Sequents
COP=United Kingdom
Cut Formula
Cut Rule
De Morgan Negation
decidability results
Delivery_Pre-order
Disjunction Property
Display Logic
Distant Sequents
Dual Combinators
Empty Clause
eq_computing
eq_isMigrated=2
eq_new_release
eq_non-fiction
intuitionistic logic
Lambek calculi
Language_English
Left Premise
Left Rank
linear logic
meta-logical results
modal logic
Natural Deduction Systems
non-classical logic
Non-classical Logics
Nonclassical Logics
Normal Modal Logic
PA=Not yet available
Price_€50 to €100
Principal Formula
proof systems
Proof Tree
PS=Forthcoming
relevance logic
Relevance Logics
Sequent Calculi
sequent calculus formalizations of logics
softlaunch
Subformula Property
Tableau System
Type Assignment System
variations on calculi for logic

Product details

  • ISBN 9781032920771
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi for various non-classical logics, from intuitionistic logic to relevance logic, linear logic, and modal logic.

In the first chapters, the author emphasizes classical logic and a variety of different sequent calculi for classical and intuitionistic logics. She then presents other non-classical logics and meta-logical results, including decidability results obtained specifically using sequent calculus formalizations of logics.

The book is suitable for a wide audience and can be used in advanced undergraduate or graduate courses. Computer scientists will discover intriguing connections between sequent calculi and resolution as well as between sequent calculi and typed systems. Those interested in the constructive approach will find formalizations of intuitionistic logic and two calculi for linear logic. Mathematicians and philosophers will welcome the treatment of a range of variations on calculi for classical logic. Philosophical logicians will be interested in the calculi for relevance logics while linguists will appreciate the detailed presentation of Lambek calculi and their extensions.