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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>
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#<math>\alpha \lor \beta \not\vdash \alpha \land \beta</math><!--
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--><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

Dedução Natural para a Lógica Proposicional Intuicionista

  1. 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}

  2. 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)}

  3. 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}

  4. 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}

  5. 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)}

  6. 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)}

  7. 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}

  8. 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)}

  9. 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}

  10. 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)}

  1. 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}

  2. 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)}

  3. 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
  1. 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.

Veja também

Links externos