Difference between revisions of "Exercícios de Dedução Natural"
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Tag: 2017 source edit |
Tag: 2017 source edit |
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#<math>\gamma \to \alpha, \gamma \to \beta \vdash \gamma \to (\alpha \land \beta)</math><!-- | #<math>\gamma \to \alpha, \gamma \to \beta \vdash \gamma \to (\alpha \land \beta)</math><!-- | ||
--><p>{{#ev:youtube|mlEYLd56pMg|||||start=1098}}</p> | --><p>{{#ev:youtube|mlEYLd56pMg|||||start=1098}}</p> | ||
+ | |||
+ | #<math>\beta \lor (\alpha \land \beta) \vdash \beta</math><!-- | ||
+ | --><p>{{#ev:youtube|yUejpYb2NgI|||||start=759}}</p> | ||
+ | #<math>(\alpha \lor \beta) \to \gamma \vdash (\alpha \to \gamma) \land (\beta \to \gamma)</math><!-- | ||
+ | --><p>{{#ev:youtube|yUejpYb2NgI|||||start=850}}</p> | ||
+ | #<math>\alpha \lor \beta \not\vdash \alpha \land \beta</math><!-- | ||
+ | --><p>{{#ev:youtube|yUejpYb2NgI|||||start=1424}}</p> | ||
==Dedução Natural para a Lógica Proposicional Clássica== | ==Dedução Natural para a Lógica Proposicional Clássica== |
Revision as of 12:30, 14 September 2020
Contents
Dedução Natural para a Lógica Proposicional Intuicionista
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varphi \land \psi \vdash \psi \land \varphi}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (\varphi \land \psi) \land \delta \vdash \varphi \land (\psi \land \delta)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varphi \vdash \varphi \land \varphi}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha \land \beta, \gamma \land \delta \vdash \gamma \land \beta}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha \to (\beta \to \gamma) \vdash \beta \to (\alpha \to \gamma)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vdash \alpha \to (\beta \to \alpha)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vdash \alpha \to \alpha}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha \to \beta \vdash \alpha \to (\alpha \to \beta)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha \to (\alpha \to \beta) \vdash \alpha \to \beta}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \gamma \to \alpha, \gamma \to \beta \vdash \gamma \to (\alpha \land \beta)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \beta \lor (\alpha \land \beta) \vdash \beta}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (\alpha \lor \beta) \to \gamma \vdash (\alpha \to \gamma) \land (\beta \to \gamma)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha \lor \beta \not\vdash \alpha \land \beta}
Dedução Natural para a Lógica Proposicional Clássica
- Derivações na forma de árvores rotuladas com fórmulas
- Terceiro Excluído / Tertium Non Datur: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vdash\varphi\lor\neg\varphi} Tarefa: Demonstrar a mesma fórmula, invertendo a ordem de aplicação das regras de introdução da disjunção.