Titlebook: Dual Tableaux: Foundations, Methodology, Case Studies; Ewa Orlowska,Joanna Golińska Pilarek Book 2011 Springer Science+Business Media B.V.

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Introduction to Whistleblower Lawslier development by George Boole[Boo47] of a calculus of sets understood as an algebra of logic. Next, the theory was extensively developed by Charles Sanders Peirce [Pei83] and Ernst Schröder [Sch91]. This early theory studied binary relations between elements of a set and their properties. The res

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Teaching Strategies for Module Instructionelation algebra where relations interact with each other, and two operators that relate these two structures: a set-forming operator acting on a relation and a set, and a relation-forming operator acting on a set. Peirce algebras were first introduced in a modern form in [Bri88] and studied in [BBS9

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Teaching Strategies for Module Instruction0] and also for reasoning with them. Typed relations are heterogeneous relations, i.e., the objects related with a relation may range over different domains. Three features of this calculus distinguish it from the calculus of ordinary relations in the Tarski-style.

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Teaching Strategies for Module Instruction[Bro07]. Intuitionistic logic can be succinctly described as classical logic without the law ϕ ∨ ¬ϕ of excluded middle. Brouwer observed that this law was abstracted from finite situations and its application to statements about infinite collections is not justified. One of the consequences of the r

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Teaching Strategies for Module Instruction the formulas of the form (φ ∧ ¬φ) → ψ or φ → (ψ → φ). The source of these paradoxes was identified as irrelevance of the antecedent of the implication to the consequent. The history and developments of relevant logics can be found e.g., in [AB75,ABD92,RMPB83,Bra03a].

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