Basic concepts of multiple-discrete valued logic and decision theory

Edge-Shifted Decision Diagrams for Multiple-Valued Logic

Symbolic data structures for multi-valued logics are useful in a number of applications, from model-checking to circuit design and switch-level circuit verification. Such data structures are referred to as decision diagrams, and are typically considered effective if they are small, i.e., common co-factors of a function are shared, and canonical, i.e., given a variable ordering, there is a uniqu...

Group Theory: Basic Concepts

⋆ Group: (G, γ) where G is a set and γ a binary operation γ : G×G → G. If γ is clear from the context the group is simply denoted by G. ◦ In place of γ(f, g) write fγg or simply fg when there is no ambiguity, as in most of what follows. ◦ Example: G = Z = {. . .− 2,−1, 0, 1, 2 . . .}, γ = +, γ(f, g) = f + g. • For G to be a group three conditions must be satisfied: (i) γ is associative: γ(f, γ(...

Multiple-valued Logic

s of the Talks In the order in which the talks were given. Walter Carnielli – Non-deterministic Semantics 5 Matthias Baaz – Analytic Calculi for Many-valued Logics 5 Hiroakira Ono – Many-valued Logics as Logics without the Contraction Rule 6 Reiner Hähnle – Proof Theory of Many-valued Logic and Hardware Design 7 Gonzalo Escalada-Imaz – Determining the Truth Degree in Real Time Settings 7 Peter ...

Multiple-Valued Logic in FPGAs

This paper considers the applicability of multiple-valued logic (MVL) circuits in implementation of field-programmable gate arrays (FPGAs). It proposes an FPGA logic block architecture that features MVL current-mode CMOS circuitry. The logic block combines the lookup-table and multiplexer approaches found in commercial FPGAs, and provides additional versatility through its current-mode operatio...

Basic Decision Theory Steven